Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545g |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-143950838643045 = -1 · 34 · 5 · 74 · 236 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9246,465637] |
[a1,a2,a3,a4,a6] |
Generators |
[389:7740:1] |
Generators of the group modulo torsion |
j |
590589719/972405 |
j-invariant |
L |
6.8335487508741 |
L(r)(E,1)/r! |
Ω |
0.39648383657345 |
Real period |
R |
2.1544222363471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105a4 |
Quadratic twists by: -23 |